Answer:
y=-5
Step-by-step explanation:
-3(-4-6y)+7(-y+5)=-8
12+18y-7y+35=-8
11y+47=-8
11y=-8-47
11y=-55
y=-55/11
y=-5
The common ratio for this one should be -2 because it;s an infinite geometry
Answer:
It is not a right triangle
Step-by-step explanation:
A triangle has side lengths of 8 inches, 12 inches, and 16 inches.
To determine if it is a Right Triangle, we make use of the Pythagoras Theorem, i.e.
![Hypotenuse^2=Opposite^2+Adjacent^2](https://tex.z-dn.net/?f=Hypotenuse%5E2%3DOpposite%5E2%2BAdjacent%5E2)
Now the Hypotenuse is always the longest side
![16^{2} =8^2+12^2\\256=64+144\\256=208](https://tex.z-dn.net/?f=16%5E%7B2%7D%20%3D8%5E2%2B12%5E2%5C%5C256%3D64%2B144%5C%5C256%3D208)
The equality above is not true and in fact
![256\neq 208](https://tex.z-dn.net/?f=256%5Cneq%20208)
Therefore the 3 numbers do not satisfy Pythagoras theorem and cannot be the lengths of a right triangle.
Gordon gets £72
Explanation:
Sarah gets twice as much as Gordon and Gordon gets three times as much as Malachy, which means that Malachy gets 1 part of the money, Gordon gets 3 parts because he has three times as much as Malachy, and Sarah gets 6 because she gets twice as much as Gordon. As a ratio from Sarah to Gordon to Malachy its 6:3:1. All of that adds up to £240. If u add 6+3+1 it gives you 10. 240/10 is £24. And Gordon has 3 parts so you do 3x24 which gives you £72